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Finding the Fourth Proportional to 238,403.64, 328,916.80 and 135,023.75

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Solution

The fourth proportional to 238,403.64, 328,916.80 and 135,023.75 is: 186,287.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,403.64 : 328,916.80 = 135,023.75 : x
  2. Step 2: Convert to fraction form
    238,403.64/328,916.80 = 135,023.75/x
  3. Step 3: Cross multiply
    238,403.64x = 328,916.80 × 135,023.75
  4. Step 4: Simplify right side
    238,403.64x = 44,411,579,774
  5. Step 5: Solve for x
    x = 44,411,579,774/238,403.64
  6. Step 6: Final answer
    x = 186,287.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.